Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 4123 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_1\phi_1^2$ + $ M_3M_5$ + $ M_6q_1\tilde{q}_1$ + $ M_7q_1q_2$ | 0.6984 | 0.8763 | 0.797 | [X:[], M:[1.0769, 1.0769, 1.0769, 0.7692, 0.9231, 0.7692, 0.7692], q:[0.7692, 0.4615], qb:[0.4615, 0.4615], phi:[0.4615]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 24549/35152, c: 15401/17576, M1: 14/13, M2: 14/13, M3: 14/13, M4: 10/13, M5: 12/13, M6: 10/13, M7: 10/13, q1: 10/13, q2: 6/13, qb1: 6/13, qb2: 6/13, phi1: 6/13} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_7$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_3$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ M_4M_7$, $ M_6M_7$, $ M_7^2$, $ M_4M_5$, $ M_5M_6$, $ M_5M_7$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_7\phi_1^2$, $ M_1M_4$, $ M_3M_4$, $ M_5^2$, $ M_1M_6$, $ M_3M_6$, $ M_1M_7$, $ M_3M_7$, $ M_5\phi_1^2$, $ \phi_1^4$ | $M_1M_5$, $ M_3\phi_1^2$ | -5 | 3*t^2.31 + 2*t^2.77 + 2*t^3.23 + 6*t^4.15 + 6*t^4.62 + 6*t^5.08 + 9*t^5.54 - 5*t^6. + 17*t^6.46 + 16*t^6.92 + 10*t^7.38 + 13*t^7.85 + t^8.31 + 21*t^8.77 - t^4.38/y - (3*t^6.69)/y + t^7.15/y + (2*t^7.62)/y + (9*t^8.08)/y + (7*t^8.54)/y - t^4.38*y - 3*t^6.69*y + t^7.15*y + 2*t^7.62*y + 9*t^8.08*y + 7*t^8.54*y | 3*t^2.31 + 2*t^2.77 + 2*t^3.23 + 6*t^4.15 + 6*t^4.62 + 6*t^5.08 + 9*t^5.54 - 5*t^6. + 17*t^6.46 + 16*t^6.92 + 10*t^7.38 + 13*t^7.85 + t^8.31 + 21*t^8.77 - t^4.38/y - (3*t^6.69)/y + t^7.15/y + (2*t^7.62)/y + (9*t^8.08)/y + (7*t^8.54)/y - t^4.38*y - 3*t^6.69*y + t^7.15*y + 2*t^7.62*y + 9*t^8.08*y + 7*t^8.54*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 5629 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_1\phi_1^2$ + $ M_3M_5$ + $ M_6q_1\tilde{q}_1$ + $ M_7q_1q_2$ + $ M_5M_8$ | 0.6913 | 0.8644 | 0.7998 | [X:[], M:[1.0769, 1.0769, 1.0769, 0.7692, 0.9231, 0.7692, 0.7692, 1.0769], q:[0.7692, 0.4615], qb:[0.4615, 0.4615], phi:[0.4615]] | 3*t^2.31 + t^2.77 + 3*t^3.23 + 6*t^4.15 + 6*t^4.62 + 3*t^5.08 + 10*t^5.54 - 6*t^6. - t^4.38/y - t^4.38*y | detail | {a: 6075/8788, c: 1899/2197, M1: 14/13, M2: 14/13, M3: 14/13, M4: 10/13, M5: 12/13, M6: 10/13, M7: 10/13, M8: 14/13, q1: 10/13, q2: 6/13, qb1: 6/13, qb2: 6/13, phi1: 6/13} |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 2147 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_1\phi_1^2$ + $ M_3M_5$ + $ M_6q_1\tilde{q}_1$ | 0.6802 | 0.8437 | 0.8062 | [X:[], M:[1.0769, 1.0769, 1.0769, 0.7692, 0.9231, 0.7692], q:[0.7692, 0.4615], qb:[0.4615, 0.4615], phi:[0.4615]] | 2*t^2.31 + 2*t^2.77 + 2*t^3.23 + t^3.69 + 6*t^4.15 + 3*t^4.62 + 4*t^5.08 + 7*t^5.54 - 3*t^6. - t^4.38/y - t^4.38*y | detail | {a: 11955/17576, c: 3707/4394, M1: 14/13, M2: 14/13, M3: 14/13, M4: 10/13, M5: 12/13, M6: 10/13, q1: 10/13, q2: 6/13, qb1: 6/13, qb2: 6/13, phi1: 6/13} |